Answer:
f(1) = 16
Domain: 0 ≤ t ≤ 2
Step-by-step explanation:
Given
f(t) = -16t²+ 32t
Solving (a): f(1)
Substitute 1 for t in f(t)
f(t) =− 16t²+ 32t .
f(1) =− 16 * (1)²+ 32 * 1
f(1) = -16 * 1 + 32
f(1) = -16 + 32
f(1) = 16
Solving (b): The domain
The implication of the given parameter in (b) is that t ≤ 2.
Since t represents time, t can't be negative.
Hence, a reasonable domain is
0 ≤ t ≤ 2
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
Answer:
C
Step-by-step explanation:
Maybe it's wrong, and maybe it's right.
Just glad I helped!
ones tens hundreds thousands millions billions and those are all the place value chart
Answer:
x=1 and x=0
Step-by-step explanation:
We need to find the points at which the graphs y = x^2 + x – 2 and y = 2x – 2 intercept.
We know that:
x^2 + x – 2 = 2x – 2
x^2 - x = 0
Factorizing:
x(x-1) = 0
Therefore, the solution to the system of equation is x=1 and x=0.